lib ../a for algorithms for numerical approximation editor Eric Grosse master ornl.gov lib ../access for netlib access tools, such as unshar editor Eric Grosse master ornl.gov lib ../aicm for selected material from Advances in Computational Mathematics # journal published by Baltzer master ornl.gov lib ../alliant for programs collected from Alliant users editor Jack Dongarra master ornl.gov lib ../amos for Bessel functions of complex argument and nonnegative order , The Bessel functions H1, H2, I, J, K, and Y, as well as the , Airy functions Ai, Bi, and their derivatives are provided. , Exponential scaling and sequence generation are optional. by D.E. Amos ref ACM TOMS 12 (1986) 265-273 algorithm 644 master ornl.gov lib ../ampl for linear and nonlinear programming. editor David Gay master ornl.gov lib ../anl-reports for Reports from the MCS division at Argonne editor Jack Dongarra <dongarra@cs.utk.edu> master ornl.gov lib ../apollo for programs collected from Apollo users. editor Jack Dongarra master ornl.gov lib ../arpack for large-scale eigenvalue problems master ornl.gov lib ../atlas for Autmatically Tuned Linear Algebra Subroutines by Clint Whaley master ornl.gov contact atlas@cs.utk.edu lib ../benchmark for contains benchmark programs and the table of Linpack timings. editor Jack Dongarra master ornl.gov lib ../bib for bibliographies: Golub and Van Loan, 2nd ed. editor Eric Grosse master ornl.gov lib ../bibnet for BibNet -- Netlib Bibliography Project # This initiative is a step toward sharing information electronically, # and it will allow scientists to: # - provide complete and updated information on their own work, # - have an efficient pointer to publications and ongoing research, and # - simplify the work of preparing publications. editor Stefano Foresti, Nelson H. F. Beebe, Eric Grosse master ornl.gov lib ../bihar for biharmonic equation in rectangular geometry and polar coordinates by Petter Bjorstad master nac.no lib ../blacs for Basic Linear Algebra Communication Subprograms editor Clint Whaley <rwhaley@cs.utk.edu> contact blacs@cs.utk.edu master ornl.gov lib ../blas for blas (level 1, 2 and 3) and machine constants rel excellent age stable editor Jack Dongarra master ornl.gov lib ../blast for Communications of the BLAST mailing lists editor Jack Dongarra <dongarra@cs.utk.edu> master ornl.gov lib ../bmp for Brent's multiple precision package master ornl.gov lib ../c++ for miscellaneous codes in C++ editor Eric Grosse master ornl.gov lib ../c for miscellaneous codes written in C # Not all C software is in this "miscellaneous" library. # If it clearly fits into domain specific library, it is assigned there. # The principal contents at present is the c/meschach subdirectory # by David Stewart covering linear algebra and utilities. See # c/index for details. editor Eric Grosse master ornl.gov lib ../cephes for special functions and IEEE floating point arithmetic by Stephen L. Moshier <moshier@na-net.ornl.gov> lang C master ornl.gov lib ../chammp for DOE Computer Hardware, Advanced Mathematics and Model Physics program editor Jack Dongarra master ornl.gov lib ../cheney-kincaid by Ward Cheney & David Kincaid ref Numerical Mathematics and Computing, 2nd ed., 1985. master ornl.gov lib ../clapack for C version of LAPACK by J. Demmel and Xiaoye Li rel pre-release lang C master ornl.gov lib ../commercial for advertising material for commercial math software editor ehg@research.bell-labs.com master ornl.gov lib ../confdb for conferences database editor Shirley Browne <browne@cs.utk.edu> contact conferences@cs.utk.edu master ornl.gov lib ../conformal for the "parameter problem" associated with conformal mapping editor Eric Grosse master ornl.gov lib ../contin for continuation and limit points editor Eric Grosse master ornl.gov lib ../control for generation of examples of continuous-time algebraic Riccati equations by Benner, Laub, and Mehrmann prec double lang fortran gams D8, F2, G3, G4a master ornl.gov lib ../crc for checksums for netlib files editor Eric Grosse master ornl.gov lib ../cumulvs for CUMULVS is an infrastructure library that allows a programmer to , easily extract data from a running parallel simulation and send the , data to a visualization package. CUMULVS includes the capability to , steer user-defined parameters in a distributed simulation. master ornl.gov contact cumulvs@msr.epm.ornl.gov lib ../ddsv for "Linear Algebra Computations on Vector and Parallel Computers" by Jack Dongarra, Iain Duff, Danny Sorensen, and Henk Van der Vorst. master ornl.gov lib ../dierckx for spline fitting routines for various kinds of data and geometries by Paul Dierckx <Paul.Dierckx@cs.kuleuven.ac.be> # Comp Sci, K. U. Leuven, Celestijnenlaan 200A, B-3001 Heverlee, Belgium # also called fitpack, but no connection with Alan Cline's library master ornl.gov lib ../diffpack # removed; Diffpack is now a commercial package by www.nobjects.com master ornl.gov lib ../domino for multiple tasks to communicate and schedule local tasks for execution. , These tasks may be on a single processor or spread among multiple , processors connected by a message-passing network. by O'Leary, Stewart, Van de Geijn, University of Maryland lang C, assembler master ornl.gov lib ../eispack for eigenvalues and eigenvectors , A collection of Fortran subroutines that compute the eigenvalues , and eigenvectors of nine classes of matrices. The package can , determine the eigensystems of complex general, complex Hermitian, , real general, real symmetric, real symmetric band, real symmetric , tridiagonal, special real tridiagonal, generalized real, and , generalized real symmetric matrices. In addition, there are two , routines which use the singular value decomposition to solve , certain least squares problems. by NATS Project at Argonne National Laboratory <dongarra@cs.utk.edu> prec double see seispack rel excellent age stable ref B.T. Smith, J.M. Boyle, J.J. Dongarra, B.S. Garbow, Y. Ikebe, , V.C. Klema, and C.B. Moler. Matrix Eigensystem Routines - , EISPACK Guide, volume 6 of Lecture Notes in Computer Science, , Springer-Verlag, Berlin, 1976. , , B.S. Garbow, J.M. Boyle, J.J. Dongarra, and C.B. Moler. , Matrix Eigensystem Routines - EISPACK Guide Extension, volume 51 of , Lecture Notes in Computer Science, Springer-Verlag, Berlin, 1977. master ornl.gov lib ../elefunt for testing elementary function programs provided with Fortran compilers ref Software Manual for the Elementary Functions, Prentice Hall, 1980. by W. J. Cody and W. Waite master ornl.gov lib ../env for integrated problem solving environments editor Eric Grosse <ehg@research.bell-labs.com> master ornl.gov lib ../etemplates for Electronic templates master ornl.gov lib ../f2c for converting Fortran to C by Feldman, Gay, Maimone, and Schryer editor David Gay master ornl.gov gams s1 lib ../fdlibm for C math library for machines that support IEEE 754 floating-point by Kwok C Ng <kwok.ng@sun.com> # Version: 5.3 # Maintained-hy: fdlibm-comments@sun.com # Platforms: Require ANSI C compiler with IEEE 754 style arithmetic # Copying-Policy: Freely Redistributable # Keywords: libm,exp,log,sin,cos,floating-point,IEEE754 master ornl.gov lib ../fftpack for Fast Fourier Transform of periodic and other symmetric sequences # This package consists of programs which perform Fast Fourier # Transforms for both complex and real periodic sequences and # certain other symmetric sequences. by Paul Swarztrauber, NCAR. see double precision version in bihar rel excellent age stable master ornl.gov lib ../fishpack for finite differences for elliptic boundary value problems. by Paul Swarztrauber and Roland Sweet. # CRAYFISHPAK is an expanded version of FISHPAK that has been totally # rewritten for vector computers, on which order of magnitude speedups # have been commonly observed. For more information, see # http://www.greenmtn.com/software rel excellent age stable master ornl.gov lib ../fitpack for splines under tension. (an early version) by Alan K. Cline # For a current copy and for other routines, contact: # Pleasant Valley Software, 8603 Altus Cove, Austin TX 78759, USA master ornl.gov lib ../floppy for fortan code syntax and flow control checker master ornl.gov lib ../fmm ref Computer Methods for Mathematical Computations by George Forsythe, Mike Malcolm, and Cleve Moler. prec double see sfmm master ornl.gov lib ../fn for special functions by Wayne Fullerton master ornl.gov lib ../fortran-m for small set of extensions to f77 that supports modular message-passing editor Jack Dongarra <dongarra@cs.utk.edu> master ornl.gov lib ../fortran for tools specific to Fortran: a single/double converter; static debugger master ornl.gov lib ../fp for floating point arithmetic editor David Gay master ornl.gov lib ../gcv for Generalized Cross Validation spline smoothing editor Eric Grosse master ornl.gov lib ../gmat for multi-processing Time Line and State Graph tools. by Mark Seager (LLNL Oct 8, 1987) master ornl.gov contact werner@ramius.llnl.gov (Nancy Werner) 26 Oct 90 lib ../gnu for utilities useful to netlib clients, covered by GNU public license editor David Gay master ornl.gov lib ../go for Golden Oldies: widely used, but not in standard libraries. # Nominations welcome! rel excellent age old editor Eric Grosse master ornl.gov lib ../graphics for scientific visualization editor Eric Grosse master ornl.gov lib ../harwell for sparse unsymmetric matrix routine MA28 from the Harwell library editor Iain Duff master ornl.gov lib ../hence for Heterogenous Network Computing Environment, a visual parallel , programming environment keywords visual,parallel,computation,graph,PVM,Heterogeneous editor Peter Newton <newton@cs.utk.edu> contact hence@cs.utk.edu master ornl.gov lib ../hompack for solving nonlinear systems of equations by homotopy methods # fixed point, zero finding, and general homotopy curve tracking problems, # utilizing both dense and sparse Jacobian matrices; # ODE-based, normal flow, and augmented Jacobian. by Layne T. Watson ltw@vtopus.cs.vt.edu (703) 231-7540 # Department of Computer Science, VPI & SU, Blacksburg, VA 24061 master ornl.gov lib ../hpf for HPF language specifications by High Performance Fortran Forum master ornl.gov lib ../hypercube master ornl.gov editor Jack Dongarra <dongarra@cs.utk.edu> lib ../ieeecss for IEEE / Control Systems Society # sqred, Van Loan's "square reduced" algorithm. # Systems and Control Analysis and Design Environment by J. D. Birdwell. editor Jack Dongarra master ornl.gov lib ../ijsa for International Journal of Supercomputer Applications editor Jack Dongarra master ornl.gov lib ../image for image processing editor Eric Grosse master ornl.gov see popi, a/blur lib ../intercom for Interprocessor Collective Communications (InterCom) Library by Mike Barnett, David Payne, Satya Gupta, Lance Shuler, , Robert van de Geijn, and Jerrell Watts contact intercom@cs.utexas.edu editor Jack Dongarra <dongarra@cs.utk.edu> master ornl.gov lib ../itpack for Iterative Linear System Solvers # Jacobi method, SOR, SSOR with conjugate gradient acceleration # or with Chebyshev (semi-iteration - SI) acceleration. by Young and Kincaid and the group at U of Texas. # kincaid@cs.utexas.edu oppe@scri1.scri.fsu.edu joubert@cs.utexas.edu # Center for Numerical Analysis; (512) 471-1242 # RLM Bldg. 13.150; University of Texas at Austin; Austin TX 78713-8510 editor Bill Coughran master ornl.gov lib ../jakef for automatic differentiation , a precompiler that analyses a given Fortran77 source code for , the evaluation of a scalar or vector function and then generates an , expanded Fortran subroutine that simultaneously evaluates the gradient , or Jacobian respectively. For scalar functions the ratio between the , run-time of the resulting gradient routine and that of the original , evaluation routine is never greater than a fixed bound of about five. , The storage requirement may be considerable as it is also proportional , to the run-time of the original routine. Since no differencing is done , the partial derivative values obtained are exact up to round-off errors. by A. Griewank, Argonne National Laboratory <griewank@mcs.anl.gov> 12/1/88. master ornl.gov lib ../java for miscellaneous codes written in java , Not all java software is in this "miscellaneous" library. , If it clearly fits into a domain specific library then it is , assigned there instead. editor Jeremy Millar (millar@cs.utk.edu) master ornl.gov lib ../kincaid-cheney by Ward Cheney & David Kincaid ref Numerical Analysis: The Mathematics of Scientific Computing, 1990. master ornl.gov lib ../la-net for SIAG/LA news and conference arrangements editor John Gilbert <gilbert@parc.xerox.com> master ornl.gov lib ../lanczos for a few eigenvalues/eigenvectors of a large (sparse) symmetric matrix # real symmetric and Hermitian matrices # singular values and vectors of real, rectangular matrices by Jane Cullum and Ralph A. Willoughby, IBM Yorktown 914-945-1589 ref Lanczos Algorithms for Large Symmetric Eigenvalue Computations, Birkhauser # Additional codes, for factored inverses, real symmetric generalized # problems, complex symmetric problems and real symmetric block codes # are available from the authors. master ornl.gov see go/underwood.f lib ../lanz for Large Sparse Symmetric Generalized Eigenproblem by Mark T. Jones and Merrell L. Patrick master ornl.gov see go/underwood.f gams d4b1 lib ../lapack++ for the c++ version of lapack (see www.netlib.org/lapack/) rel excellent age research ref LAPACK Users' Guide, May 1992, available from SIAM; , 3600 University City Science Center; , Philadelphia, PA 19104-2688; 215-382-9800, FAX 215-386-7999; , service@siam.org master ornl.gov contact lapack@cs.utk.edu lib ../lapack for the most common problems in numerical linear algebra , linear equations, linear least squares problems, eigenvalue problems, , and singular value problems. It has been designed to be efficient , on a wide range of modern high-performance computers. by Ed Anderson, Z. Bai, Chris Bischof, Jim Demmel, Jack Dongarra, , Jeremy Du Croz, Anne Greenbaum, Sven Hammarling, Alan McKenney, , Susan Ostrouchov, and Danny Sorensen <lapack@cs.utk.edu> rel excellent age research ref LAPACK Users' Guide, May 1992, available from SIAM; , 3600 University City Science Center; , Philadelphia, PA 19104-2688; 215-382-9800, FAX 215-386-7999; , service@siam.org master ornl.gov contact lapack@cs.utk.edu lib ../lapack3e for update to lapack v3.0 enhanced with features of fortran 90 editor Ed Anderson contact lapack@cs.utk.edu master ornl.gov lib ../lapack90 for Fortran90 interface for LAPACK by J. J. Dongarra, J. Du Croz, S. Hammarling, J. Wasniewski, , A. Zemla <lapack@cs.utk.edu> age experimental ref LAPACK Working Note 101: A Proposal for a Fortran 90 Interface , for LAPACK (http://www.netlib.org/lapack/lawns/lawn101.ps) master ornl.gov contact lapack@cs.utk.edu lib ../laso for a few eigenvalues/eigenvectors of a large (sparse) symmetric matrix alg Lanczos by David Scott master ornl.gov see go/underwood.f lib ../lawson-hanson for least squares by C. Lawson and R. Hanson ref "Solving Least Squares Problems," SIAM Publications lang Fortran77, Fortran90 master ornl.gov lib ../linalg for various functions complementing the bigger linear algebra libraries editor Jack Dongarra master ornl.gov lib ../linpack for linear equations and linear least squares problems , linear systems whose matrices are general, banded, symmetric , indefinite, symmetric positive definite, triangular, and tridiagonal , square. In addition, the package computes the QR and singular value , decompositions of rectangular matrices and applies them to least , squares problems. by Jack Dongarra <dongarra@cs.utk.edu>, , Jim Bunch, Cleve Moler and Pete Stewart. rel excellent age stable ref J. Bunch, J. Dongarra, C. Moler, and G.W. Stewart. LINPACK User's , Guide. SIAM, Philadelphia, PA, 1979. master ornl.gov lib ../list for various databases searched by netlib's "find" and "who is" commands. # By default, "find" searches a large collection of one-line descriptions # of netlib items. You can also search in some proprietary libraries # by sending a request of the form # find bessel from imsl nag port. # Of course, you can't get the actual source code from netlib! # By default, "whois" searches the SIAM Membership List and the "nalist" # files. Use the form # whois Ed Block. lib ../lp for linear programming test problems editor David Gay master ornl.gov lib ../lyapack for Riccati and Lyapunov eqations, optimal control lib ../machines for information on high performance computers editor Jack Dongarra master ornl.gov lib ../magic for finding matrices for implication connectives editor Jack Dongarra <dongarra@cs.utk.edu> master ornl.gov lib ../maspar for MasPar-specific libraries and tools editor Petter Bjorstad master nac.no lib ../mds for multidimensional scaling editor kruskal@research.bell-labs.com master ornl.gov lib ../microscope for looking closely at functions # Given an interpolation or approximation scheme, it # allows the following questions, among others, to be answered: # Does the scheme interpolate? How often is it # differentiable? What functions does it reproduce exactly? If # the scheme is polynomial, what is its polynomial degree? Where # is the smoothness of a function reduced? Where are the bugs in # a FORTRAN implementation? by Peter Alfeld and Bill Harris, Dept. Math., University of Utah # 801-581-6842 or 801-581-6851 master ornl.gov lib ../minpack for nonlinear equations and nonlinear least squares problems. , Five algorithmic paths each include a core subroutine and an , easy-to-use driver. The algorithms proceed either from an analytic , specification of the Jacobian matrix or directly from the problem , functions. The paths include facilities for systems of equations , with a banded Jacobian matrix, for least squares problems with a , large amount of data, and for checking the consistency of the , Jacobian matrix with the functions. by Jorge More', Burt Garbow, and Ken Hillstrom at Argonne National Laboratory. prec double see sminpack master ornl.gov lib ../misc for various stuff collected over time editor Jack Dongarra master ornl.gov lib ../mpfun for multiple precision arithmetic by David Bailey <dbailey@nas.nasa.gov> master ornl.gov lib ../mpi for message passing interface draft standard. editor Jack Dongarra <dongarra@cs.utk.edu> master ornl.gov lib ../mpicl for MPICL is a subroutine library for collecting information on communication and user-defined events in message-passing parallel programs written in C or FORTRAN. contact Pat Worley <worley@epm.ornl.gov> lib ../na-digest-html for html versions of the NA-Digests and a search interface editor Cleve Moler (moler@mathworks.com) master ornl.gov lib ../na-digest for archives of the numerical interest mailing group editor Cleve Moler lib ../napack for linear algebra and optimization # A collection of Fortran subroutines to solve linear systems, # to estimate the condition number or the norm of a matrix, # to compute determinants, to multiply a matrix by a vector, # to invert a matrix, to solve least squares problems, to perform # unconstrained minimization, to compute eigenvalues, eigenvectors, # the singular value decomposition, or the QR decomposition. # The package has special routines for general, band, symmetric, # indefinite, tridiagonal, upper Hessenberg, and circulant matrices. by Bill Hager # Mathematics, Univ. Florida, Gainesville, FL 32611, hager@math.ufl.edu ref Applied Numerical Linear Algebra, Prentice-Hall, 1988. master ornl.gov lib ../netsolve for The motivation behind NetSolve was to devise a fast, , efficient, easy-to-use system to effectively solve large , computational problems, regardless of the type of , computer one happens to be using. Issues such as , Networking, Heterogeneity, Portability Numerical , Computing Fault Tolerance Load Balancing are all dealt , with by the system freeing the user to focus on other , aspects of the application. NetSolve has been designed , to overcome hardware and software restrictions so that , resources can be available to any user anywhere on the , network. editor Dorian Arnold, University of Tennessee contact netsolve@cs.utk.edu master ornl.gov lib ../news for netlib column for SIAM News lang LaTeX by Eric Grosse master ornl.gov lib ../numeralgo for algorithms from the new journal "Numerical Algorithms" master ornl.gov lib ../ode for initial and boundary value ordinary differential equation solvers # colsys, dverk, rksuite, ode editor Eric Grosse master ornl.gov lib ../odepack for ODE package (LSODE, LSODES, LSODA, LSODAR, LSODPK, LSODKR, LSODI, LSOIBT, LSODIS) by Alan Hindmarsh <alanh@llnl.gov> and others prec single, double lang Fortran see sodepack master ornl.gov lib ../odrpack for Orthogonal Distance Regression by Boggs Byrd Rogers Schnabel # A portable collection of Fortran subprograms for fitting a model to # data. It is designed primarily for instances when the independent # as well as the dependent variables have significant errors, # implementing a highly efficient algorithm for solving the weighted # orthogonal distance regression problem, i.e., for minimizing the # sum of the squares of the weighted orthogonal distances between # each data point and the curve described by the model equation. master ornl.gov lib ../opt for nonlinear optimization and zero-finding editor David Gay master ornl.gov lib ../p4 for parallel programming system. # subroutines and macors for writing portable parallel # programs in Frtran or C for execution on a wide variety of parallel # machines and workstation networks. by Rusty Lusk, Argonne National Laboratory contact p4@mcs.anl.gov master ornl.gov lib ../paragraph for graphical display of message-passing multiprocessor architectures. by Jennifer Etheridge and Michael Heath, Oak Ridge National Lab. master ornl.gov lib ../paranoia for exploring the floating point system on your computer. by Kahan, Berkeley editor David Gay master ornl.gov lib ../parkbench for parallel benchmark working group editor Jack Dongarra <dongarra@cs.utk.edu> master ornl.gov lib ../parmacs for parallel programmming macros for monitors and send/receive by Rusty Lusk, Argonne National Lab (lusk@anl-mcs.arpa) master ornl.gov lib ../pascal for miscellaneous codes written in Pascal # At present, codes from J.C. Nash, Compact Numerical Methods for # Computers: Linear Algebra and Function Minimisation, Second Edition # Adam Hilger: Bristol & American Institute of Physics: New York, 1990 editor Eric Grosse master ornl.gov lib ../pdes for partial differential equation packages editor Bill Coughran master ornl.gov lib ../performance lib ../photo for snapshots from numerical analysis conferences (contributions welcome) editor ehg@research.bell-labs.com master ornl.gov lib ../picl for PICL is a subroutine library that implements a generic message-passing interface on a variety of multiprocessors. editor Pat Worley <worley@epm.ornl.gov> master ornl.gov master ornl.gov lib ../pltmg for elliptic partial differential equations in general regions of the plane # It features adaptive local mesh # refinement, multigrid iteration, and a pseudo-arclength # continuation option for parameter dependencies. The package # includes an initial mesh generator and several graphics # packages. ref PLTMG User's Guide, SIAM publications by Randy Bank editor Bill Coughran, Eric Grosse master ornl.gov lib ../poly2 for conversion tools for polyhedra library by Stewart Dickson master ornl.gov lib ../polyhedra for angles, vertex locations, etc of geometric solids by Andrew Hume master ornl.gov lib ../popi for arbitrary manipulation of digitized images. ref Chap 5,6 of Beyond Photography--The Digital Darkroom, PrenticeHall by Gerard J. Holzmann master ornl.gov lib ../port for public subset of the PORT library # Includes the latest version of Gay's NL2SOL nonlinear least squares. # The rest of the PORT3 library is available by license from Lucent Technologies. editor David Gay master ornl.gov lib ../posix for an experiment sponsored by the IEEE Computer Society # to make available draft documents, meeting notices, and # minutes for its POSIX standardization activities. # Initially, only a very limited subset of working groups # and documents is provided. editor Andrew Hume andrew@netlib.att.com # (kept only at netlib@netlib.att.com) lib ../pppack for splines by Carl de Boor ref A Practical Guide to Splines, Springer Verlag. # Some calling sequences differ slightly from those in the book. rel excellent age old editor Eric Grosse master ornl.gov lib ../presto for an environment for writing object-oriented parallel programs master ornl.gov lib ../problem-set master ornl.gov lib ../pvm3 for software and papers on a Parallel Virtual Machine (PVM) , software for heterogeneous networking parallel processing in , Fortran or C for execution on a wide variety of parallel , machines, supercomputers, and workstation networks. by Beguelin, Dongarra, Geist, Jiang, Manchek, Moore, and Sunderam editor Jack Dongarra, University of Tennessee and Oak Ridge National Lab contact pvm@msr.epm.ornl.gov master ornl.gov lib ../quadpack for definite univariate integrals by Piessens, de Donker, Kahaner # (slatec version) master ornl.gov lib ../random for random number generators editor Eric Grosse master ornl.gov lib ../research for small tools from Computing Science Research, Bell Labs editor Eric Grosse master ornl.gov lib ../rib for software package for creating WWW metadat repositories editor Jeremy Millar master ornl.gov lib ../scalapack for software for MIMD distributed memory computers for some of the # lapack routines editor Jack Dongarra, University of Tennessee and Oak Ridge National Lab master ornl.gov lib ../sched for the Schedule package, to aid transportable # implementation of parallel algorithms in a Fortran setting. by Jack Dongarra and Dan Sorensen master ornl.gov lib ../scilib , a portable FORTRAN emulation (by M.J. McBride and S.H. Lamson) , of CRAY SCILIB, a library of scientific applications subprograms , developed by Cray Research, Inc. editor Jack Dongarra contact Scott Lamson <lamson@crd.ge.com> master ornl.gov lib ../seispack for eigenvalues and eigenvectors , A collection of Fortran subroutines that compute the eigenvalues , and eigenvectors of nine classes of matrices. The package can , determine the eigensystems of complex general, complex Hermitian, , real general, real symmetric, real symmetric band, real symmetric , tridiagonal, special real tridiagonal, generalized real, and , generalized real symmetric matrices. In addition, there are two , routines which use the singular value decomposition to solve , certain least squares problems. by NATS Project at Argonne National Laboratory. prec single see eispack master ornl.gov lib ../sequent for software from the Sequent Users Group editor Jack Dongarra master ornl.gov lib ../sfmm ref Computer Methods for Mathematical Computations by George Forsythe, Mike Malcolm, and Cleve Moler. see fmm prec single master ornl.gov lib ../slap for iterative symmetric and non-symmetric linear system solution , Sparse Linear Algebra Package. , Included in this package are core routines to do Iterative , Refinement iteration, Preconditioned Conjugate Gradient , iteration, Preconditioned Conjugate Gradient iteration on the , Normal Equations, Preconditioned BiConjugate Gradient iteration, , Preconditioned BiConjugate Gradient Squared iteration, Orthomin , iteration and Generalized Minimum Residual iteration. Core , routines require the user to supply "MATVEC" (Matrix Vector , Multiply) and "MSOLVE" (Preconditiong) routines. by Mark K. Seager & Anne Greenbaum editor Jack Dongarra master ornl.gov lib ../slatec for comprehensive software library containing over 1400 general , purpose mathematical and statistical routines written in Fortran 77. editor Tom Rowan master ornl.gov lib ../sminpack for nonlinear equations and nonlinear least squares problems. , Five algorithmic paths each include a core subroutine and an , easy-to-use driver. The algorithms proceed either from an analytic , specification of the Jacobian matrix or directly from the problem , functions. The paths include facilities for systems of equations , with a banded Jacobian matrix, for least squares problems with a , large amount of data, and for checking the consistency of the , Jacobian matrix with the functions. by Jorge More', Burt Garbow, and Ken Hillstrom at Argonne National Laboratory. prec single see minpack master ornl.gov lib ../sodepack # see /netlib/odepack master ornl.gov lib ../sparse-blas for sparse extension to Basic Linear Algebra Subprograms. by Dave Dodson convex!dodson@a.cs.uiuc.edu editor Jack Dongarra master ornl.gov lib ../sparse for large sparse systems of linear equations using LU factorization. , real and complex square , Besides being able to solve linear systems, , it is solves transposed systems, find determinants, multiplies , a vector by a matrix, and estimate errors due to , ill-conditioning in the system of equations and instability in , the computations. Sparse does not require symmetry , and is able to perform numerical pivoting (either diagonal or , complete) to avoid unnecessary error in the solution. by Ken Kundert, Alberto Sangiovanni-Vincentelli. (sparse@ic.berkeley.edu) lang C editor Jack Dongarra master ornl.gov lib ../sparspak # withdrawn by authors' request master ornl.gov lib ../specfun for special functions and accompanying test programs by W.J. Cody, Argonne National Laboratory master ornl.gov lib ../spin for Automated Verification of Concurrent Systems. ref `Design and Validation of Computer Protocols,' Prentice Hall, 1991 by Gerard J. Holzmann master ornl.gov lib ../srwn for Software Repository Working Notes editor Jack Dongarra <dongarra@cs.utk.edu> contact nhse@netlib.org master ornl.gov lib ../stoeplitz for linear systems of Toeplitz or circulant form , and for orthogonal factorization of column-circulant matrices. by Burt Garbow at Argonne National Laboratory, , as a culmination of Soviet-American collaborative effort. prec single see toeplitz master ornl.gov lib ../stringsearch for testing string matching algorithms # This is a library of code, test data and harnesses for # various kinds of string matching, includeing Boyer-Moore. by Hume and Sunday andrew@netlib.bell-labs.com ref "Fast String Searching", Software-Practice and Experience master ornl.gov lib ../svdpack for singular values and singular vectors of large sparse matrices. by Mike Berry, University of Tennessee. master ornl.gov contact berry@cs.utk.edu lib ../templates for "one-liner" drivers of common numerical algorithms , Also, codes from Templates book. master ornl.gov lib ../tennessee for Reports from the University of Tennessee editor Jack Dongarra <dongarra@cs.utk.edu> master ornl.gov lib ../textbook for codes associated with numerical analysis textbooks editor Eric Grosse master ornl.gov lib ../toeplitz for linear systems of Toeplitz or circulant form , and for orthogonal factorization of column-circulant matrices. by Burt Garbow at Argonne National Laboratory, , as a culmination of Soviet-American collaborative effort. prec double see stoeplitz master ornl.gov lib ../toms for Collected Algorithms of the ACM ref ACM Transactions on Mathematical Software master ornl.gov lib ../tomspdf for early Collected Algorithms, now at http://portal.acm.org/ seealso toms master ornl.gov lib ../transform for FFT and other digital signal processing tools editor Eric Grosse <ehg@research.bell-labs.com> master ornl.gov lib ../typesetting for troff and TeX macros editor Eric Grosse master ornl.gov lib ../uncon for unconstrained optimization master ornl.gov lib ../vanhuffel for total least squares, Partial Singular Value Decomposition # The TLS problem assumes an overdetermined set of linear equations # AX = B, where both the data matrix A as well as the observation # matrix B are inaccurate. # The subroutine PTLS solves the Total Least Squares (TLS) problem by # using a Partial Singular Value Decomposition (PSVD), hereby improving # considerably the computational efficiency with respect to the classi- # cal TLS algorithm. by Sabine VAN HUFFEL, KU Leuven. master ornl.gov lib ../vfftpack for a vectorized version of fftpack, for multiple sequences. by Sweet, Lindgren, and Boisvert. master ornl.gov lib ../vfnlib for vectorized evaluation of special functions alg chebyshev series approximation by Ron Boisvert and Bonita Saunders ref ACM Trans Math Softw, vol 18 (1992), no 4, pp 456-469 age research see fn master ornl.gov lib ../voronoi for Voronoi regions and Delaunay triangulations editor Eric Grosse master ornl.gov lib ../xblas for Extra Precise Basic Linear Algebra Subroutines by by Xiaoye Li, Jim Demmel, David Bailey, Yozo Hida, Jimmy Iskandar, , Anil Kapur, Michael Martin, Brandon Thompson, Teresa Tung, , Daniel Yoo, with help from Ben Wanzo, Berkat Tung, Weihua Shen, , Jason Riedy, and Deaglan Halligan - BERKELEY ref Chapters 2 and 4 of the new BLAS Standard, , from: http://www.netlib.org/blas/blast-forum/ master ornl.gov contact extended_blas@cs.berkeley.edu lib ../xmagic for X windows front-end to MaGIC master ornl.gov lib ../xnetlib for X Windows netlib file retrieval application editor Reed Wade <wade@cs.utk.edu> contact xnetlib@cs.utk.edu master ornl.gov lib ../y12m for sparse linear systems by Zahari Zlatev, Jerzy Wasniewski and Kjeld Schaumburg , Comp Sci; Math Inst; Univ Aarhus; Ny Munkegade; DK 8000 Aarhus ref Z. Zlatev et.al., Y12M solution of large and sparse systems of , linear algebraic equations, Lecture Notes in Computer Science , Volume 121, Springer, 1981. master ornl.gov